1429362816 has 128 divisors (see below), whose sum is σ = 4356787200. Its totient is φ = 406729728.

The previous prime is 1429362769. The next prime is 1429362821. The reversal of 1429362816 is 6182639241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759765 + ... + 761643.

It is an arithmetic number, because the mean of its divisors is an integer number (34037400).

Almost surely, 2^1429362816 is an apocalyptic number.

1429362816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178393600).

1429362816 is an abundant number, since it is smaller than the sum of its proper divisors (2927424384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1429362816 is a wasteful number, since it uses less digits than its factorization.

1429362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2174 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1429362816 is about 37806.9149230667. The cubic root of 1429362816 is about 1126.4558116823.

The spelling of 1429362816 in words is "one billion, four hundred twenty-nine million, three hundred sixty-two thousand, eight hundred sixteen".